Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485br |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.2339855612071E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2696724,-220574957] |
[a1,a2,a3,a4,a6] |
Generators |
[-558:33599:1] |
Generators of the group modulo torsion |
j |
25288177725059761/14387797265625 |
j-invariant |
L |
8.2905971087567 |
L(r)(E,1)/r! |
Ω |
0.12733214028782 |
Real period |
R |
2.0346878569937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495b3 5355f3 |
Quadratic twists by: -3 -7 |